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Finding the Fourth Proportional to 3,216.81, 4,825.16 and 1,025.51

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Solution

The fourth proportional to 3,216.81, 4,825.16 and 1,025.51 is: 1,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.81 : 4,825.16 = 1,025.51 : x
  2. Step 2: Convert to fraction form
    3,216.81/4,825.16 = 1,025.51/x
  3. Step 3: Cross multiply
    3,216.81x = 4,825.16 × 1,025.51
  4. Step 4: Simplify right side
    3,216.81x = 4,948,220.58
  5. Step 5: Solve for x
    x = 4,948,220.58/3,216.81
  6. Step 6: Final answer
    x = 1,538.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.